Yang-Mills instantons and dyons on homogeneous G2-manifolds
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We consider LieG-valued Yang-Mills fields on the space ℝ × G/H, where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifold ℝ ×G/H carries a G2-structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on ℝ ×G/H is reduced to Newtonian mechanics of a particle moving in ℝ6, ℝ4 or ℝ2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)×U(1), Sp(2)/Sp(1)×U(1) or G2/SU(3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S1 ×G/H and dyons on iℝ ×G/H are also given.
Original language | English |
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Article number | 44 |
Journal | Journal of High Energy Physics |
Volume | 2010 |
Issue number | 10 |
ISSN | 1126-6708 |
DOIs | |
Publication status | Published - 1 Jan 2010 |
- Differential and algebraic geometry, Flux compactifications, Solitons monopoles and instantons
Research areas
ID: 233725622